Lesson 15 Practice Problems
1. Twenty students participated in a psychology experiment which measured their heart rates in two different situations.
a. What are the appropriate measures of center and variability to use with the data? Explain your reasoning.
b. Which situation shows a greater typical heart rate?
c. Which situation shows greater variability?
2. a. Invent two situations that you think would result in distributions with similar measures of variability. Explain your reasoning.
b. Invent two situations that you think would result in distributions with different measures of variability. Explain your reasoning.
Algebra 1 Unit 1
Lesson 15

Question

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ The appropriate measures of center for the heart rate data are the mean and median, while the measures of variability are the range and standard deviation. The mean provides an average heart rate, and the median gives the middle value, which is less affected by outliers. The range and standard deviation indicate how spread out the heart rates are. ‖ ‖ step 2 ⋮ Situation A shows a greater typical heart rate because the dot plot indicates that the heart rates in Situation A are generally higher than those in Situation B. ‖ ‖ step 3 ⋮ Situation A also shows greater variability, as indicated by the wider spread of heart rates in the dot plot compared to Situation B, which has a more concentrated distribution. ‖ ∻[1] Answer∻ ∻[2] Answer∻ ∻[3] Answer∻ ***A*** ∻Key Concept∻ ⚹Measures of center and variability⚹ ∻Explanation∻ ⚹Mean and median are used to find the center, while range and standard deviation measure variability in data distributions.⚹ ◊What is the formula for calculating the variance of the heart rates for each situation in the dot plots?⍭ Generate me a similar question◊

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